Micromechanical analysis of grid-reinforced thin composite generally orthotropic shells

Asymptotic analysis on flexural dynamic characteristics for a sandwich plate with periodically perforated viscoelastic damping material core

“…The hole perforated in x and y direction with respective periods k x and k y . The vector normal to the surface u is given below [37]:…”

Eigenstrain and Fourier series for evaluation of elastic local fields and effective properties of periodic composites

“…the number of second-order tensors (12) is expressed as a convolution, then the Fourier series in (12) are truncated according to (13) so that (12) can be viewed as a partial sum whose Fourier coefficients are denoted by ( ) …”

“…The asymptotic expansion method [12]- [17] allows the prediction of local and global averaged properties of composites and, under this point of view, provides the same objects of the proposed Fourier series based method. As the volume fraction of inclusions and the contrast between the properties of constituents increase the local stresses can grow significantly and many methods may face computational difficulties; asymptotic expansion method [13] appears to provide valid results for all values of volume fraction and properties of the constituents.…”

Micromechanical modeling and effective properties of the smart grid-reinforced composites

“…This model was subsequently used to analyze the wafer and rib-reinforced smart composite plates as well as the sandwich composites with honeycomb fillers, see, e.g., Kolpakov (1997, 2001), Kalamkarov et al (2009a). More recently, Kalamkarov et al (2006), Georgiades et al (2006) and Challagulla et al (2007Challagulla et al ( , 2008 have determined effective coefficients for the network-reinforced composite plates and shells. Saha et al (2007a,b) investigated the smart composite sandwich shells made of generally orthotropic materials.…”